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Finding the Third Proportional to 133,376.63 and 286,345.13

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Solution

The third proportional to 133,376.63 and 286,345.13 is: 614,751.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,376.63 : 286,345.13 = 286,345.13 : x
  2. Step 2: Convert to fraction form
    133,376.63/286,345.13 = 286,345.13/x
  3. Step 3: Cross multiply
    133,376.63x = 286,345.13 × 286,345.13
  4. Step 4: Simplify right side
    133,376.63x = 81,993,530,611.27
  5. Step 5: Solve for x
    x = 81,993,530,611.27/133,376.63
  6. Step 6: Final answer
    x = 614,751.88

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.